High Energy Physics - Theory

Title:
The Topological Vertex

Abstract: We construct a cubic field theory which provides all genus amplitudes of the
topological A-model for all non-compact Calabi-Yau toric threefolds. The
topology of a given Feynman diagram encodes the topology of a fixed Calabi-Yau,
with Schwinger parameters playing the role of Kahler classes of Calabi-Yau. We
interpret this result as an operatorial computation of the amplitudes in the
B-model mirror which is the Kodaira-Spencer quantum theory. The only degree of
freedom of this theory is an unconventional chiral scalar on a Riemann surface.
In this setup we identify the B-branes on the mirror Riemann surface as
fermions related to the chiral boson by bosonization.